Abstract
A C1-class of plane closed curves is considered, which contains all ovals and rosettes. This class is divided into some subclasses for which greatest lower bounds of numbers of antipodal and arc-antipodal sets are determined.
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Gożdż, S., Smarzewski, R. Blaschke-Süss type theorems for closed plane curves. J Geom 44, 45–52 (1992). https://doi.org/10.1007/BF01228281
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DOI: https://doi.org/10.1007/BF01228281